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56798848 = 273767179
BaseRepresentation
bin1101100010101…
…0111010000000
310221212200101001
43120222322000
5104020030343
65345221344
71256532211
oct330527200
9127780331
1056798848
112a0748a7
1217031854
13b9c8bb2
147787408
154ebe44d
hex362ae80

56798848 has 64 divisors (see below), whose sum is σ = 118605600. Its totient is φ = 27067392.

The previous prime is 56798837. The next prime is 56798857. The reversal of 56798848 is 84889765.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×567988482 = 6452218268254208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317223 + ... + 317401.

Almost surely, 256798848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56798848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59302800).

56798848 is an abundant number, since it is smaller than the sum of its proper divisors (61806752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56798848 is a wasteful number, since it uses less digits than its factorization.

56798848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 55.

The square root of 56798848 is about 7536.5010449147. The cubic root of 56798848 is about 384.3968697804.

The spelling of 56798848 in words is "fifty-six million, seven hundred ninety-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 64 67 74 128 134 148 179 268 296 358 536 592 716 1072 1184 1432 2144 2368 2479 2864 4288 4736 4958 5728 6623 8576 9916 11456 11993 13246 19832 22912 23986 26492 39664 47972 52984 79328 95944 105968 158656 191888 211936 317312 383776 423872 443741 767552 847744 887482 1535104 1774964 3549928 7099856 14199712 28399424 56798848